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Geometric Constructions

Maharashtra Board · Class 10 · Mathematics

Step-by-step guide to study Geometric Constructions in Maharashtra Board Class 10 Mathematics. Topics to cover, practice strategy, and time allocation.

44 questions26 flashcards5 concepts

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Study Plan

1
Day 1–2

Learn the Theory

Read the textbook chapter carefully. Note down definitions, formulas, and key concepts.

2
Day 3

Practice Problems

Solve textbook exercises and additional practice questions. There are 44 questions available for this chapter.

3
Day 4

Revise & Test

Revise key formulas and concepts without looking at notes. Take a practice quiz to test your understanding. Mark weak areas for re-revision.

4
Day 7

Spaced Revision

Revisit Geometric Constructions after a week. Use flashcards for quick recall. Solve previous year questions from this chapter.

What to Focus On

  • Similar triangles have equal corresponding angles.
  • Similar triangles have corresponding sides in the same proportion.
  • Construction is done in two cases: distinct vertices and one common vertex.

  • A line perpendicular to the radius at its outer end is a tangent to the circle.
  • If CP is a radius and P is on the circle, then the perpendicular through P is the tangent.
  • The construction uses the centre of the circle.

  • This construction does not use the centre of the circle.
  • The tangent-secant angle theorem gives angle CAB congruent to angle BCD.
  • The converse of the tangent-secant theorem proves that line CD is the tangent.

Common Mistakes to Avoid

A tangent at a point on a circle can be drawn by guessing any line that touches the circle.

Without using the centre, the tangent can still be constructed by drawing a radius from the point of tangency.

The same letter always means the same point everywhere in the chapter.

Memory Tips

Construction of a triangle similar to a given triangle uses two cases: vertices distinct and one vertex common

Corresponding sides of similar triangles are proportional and corresponding angles are equal

Construction of tangent at a point on a circle using the centre

Perpendicular to the radius at the point of contact gives the tangent

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Frequently Asked Questions

What are the important topics in Geometric Constructions for Maharashtra Board Class 10 Mathematics?
Geometric Constructions covers several key topics that are frequently asked in Maharashtra Board Class 10 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Geometric Constructions — Maharashtra Board Class 10 Mathematics?
Understand the core concepts first, then work through the 44 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Geometric Constructions

All 13 chapters — Maharashtra Board Class 10 Mathematics Study Plan

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